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Finding the Fourth Proportional to 65.61, 89.91 and 64.76

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Solution

The fourth proportional to 65.61, 89.91 and 64.76 is: 88.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.61 : 89.91 = 64.76 : x
  2. Step 2: Convert to fraction form
    65.61/89.91 = 64.76/x
  3. Step 3: Cross multiply
    65.61x = 89.91 × 64.76
  4. Step 4: Simplify right side
    65.61x = 5,822.12
  5. Step 5: Solve for x
    x = 5,822.12/65.61
  6. Step 6: Final answer
    x = 88.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.